Answer:
x < 15
Step-by-step explanation:
Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".
On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:
-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24
On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:
-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30
Now put these back in:
-6(x + 4) + 9 > -5(x + 6)
-6x - 24 + 9 > -5x - 30
-6x - 15 > -5x - 30
x < 15
Thus the answer is x < 15.
Hope this helps!
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!
We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.
If you have any questions feel free to ask away!!
Comprehension
We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.
We also know that in an isosceles angle, the base angles are equation to each other.
Now that we know what we need to know, we can setup an equation.
We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.
I'll start solving now.
Solving
We can solve this by using the equation we made above and solving it with algebra.
We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.
We've proven that our answer is correct by double checking,
Therefore the answer is 46.5!
Cheers!